Noah is solving the inequality 7x + 5 > 2x + 35. First, he solves the equation 7x + 5 = 2x +35 and gets x = 6. How does the solution to the equation help Noah to solve the inequality? Explain your reasoning.​

Answer: 25 weeks

Step-by-step explanation:

Let W represent the number of weeks

Judy equation is

12W + 300

Cassie equation is

20W + 100

Now let's solve it! Our system of equation is

12W + 300 = 20W + 100

Subtract 300 from both sides

12W = 20W -200

Subtract 20W from both sides

-8W = -200

W = 25 weeks

So, it takes 25 weeks for Judy and Cassie to have the same amount saved.

Answer:

let judy = 300 + 12W

cassie = 100 + 20W

300 + 12W =  100 + 20W

300 - 100 = 20W - 12W

200 = 8W

W = 25

300 +  12(25) = 100 + 20(25)

300 + 300 = 100 + 500

600 = 600

Therefore, it will take 25 days for Judy and Cassie so that they have the same amount saved.

THE GRAPH IS IN THE PICTURE,line graph

Step-by-step explanation:

Answer:

y=5x-14

Step-by-step explanation:

We find the values of f(x) at the critical points and at the endpoints of the interval [-3, 5].f(-3)=-11f(0)=5f(4)=37f(5)=-20.The largest value of f(x) is 37 which is the absolute max, and the smallest value of f(x) is -20 which is the absolute min.

Given that the function f(x)

=x³−6x²+5 on the interval [−3,5] using the closed interval method and we have to find the absolute maximum and minimum of the function.The Closed interval Method: To find the absolute max and min of a function f(x) on a closed interval [a, b], you can use the following steps:Find the critical points of f(x) in (a, b).Find the values of f(x) at the critical points and at the endpoints of the interval [a, b].The largest value of f(x) is the absolute max, and the smallest value of f(x) is the absolute min.:Given the function f(x)

=x³−6x²+5 on the interval [−3,5].Using the Closed interval Method, we can find the absolute maximum and minimum of the function as follows:First, we find the critical points of f(x) in (−3, 5).To find the critical points of f(x), we take the first derivative of f(x) and solve for f'(x)

=0f(x)

=x³−6x²+5f'(x)

=3x²-12x

=3x(x-4)

=0x

=0, 4.We find the values of f(x) at the critical points and at the endpoints of the interval [-3, 5].f(-3)

=-11f(0)

=5f(4)

=37f(5)

=-20.The largest value of f(x) is 37 which is the absolute max, and the smallest value of f(x) is -20 which is the absolute min.

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Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

Answer:

a variable expression

Step-by-step explanation:

because it consists unknown variable d

The equation of the line which passes through points (2 3) and (-4 1) is 3y - x = 7.

What is the equation of the line?

The formula for a straight line is y=mx+c where c is the height at which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.

Here, we have

Given: points (2 3) and (-4 1)

We have to find the equation of a line.

we need to determine the slope of the line. The slope can be found by using the formula

m = (y₂ - y₁) /(x₂ - x₁)

Now, we put the given points and get the value of m.

m = (1 - 3) /(-4 - 2)

m = 1/3

Now, we can use the point-slope formula to find an equation for the line. The point-slope formula states:

(y - y₁) = m(x - x₁)

(y - 3) = 1/3 (x-2)

3y - 9 = x - 2

3y - x = 7

Hence,  the equation of the line which passes through points (2 3) and (-4 1) is 3y - x = 7.

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A researcher generates a random sample of 50 college students from a nearby university using a random number generator. The researcher is utilizing a sample survey.

What is a sample survey?

A sample survey is a process that helps researchers to study a small part of a large population to generalize and make predictions about the entire population. It involves the selection of a smaller group of individuals from a larger population of interest, and the results obtained from this selected group are then used to draw inferences or generalizations about the population.

For instance, in this case, the researcher is only interested in 50 college students, but it would be impractical to study the entire student body at the university. Therefore, the researcher utilized a sample survey to select a random sample of 50 college students from a nearby university using a random number generator.

The sample survey method is generally considered more cost-effective and practical than other research methods such as a census, which involves studying an entire population.

Therefore, in conclusion, the researcher is utilizing a sample survey.

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Answer:

A = -48....................

Answer: -48

Step-by-step explanation:

-48 = a, so a = -48

Answer:

Step-by-step explanation:

3. The sale price is $37.50 and the discount is $12.50 off.

You can get this by doing 25/100 = x/50 and solving the equation to find the discount and then use the discount and subtract it from the total

4. The Forever 21 dress is less because if you use the equation that we used for question 3 you can find the discount of both and then use the discount and subtract from the total.

Hope that helps!

Answer:

Step-by-step explanation:

Left sides of both equations are the same sum (8x+2y), so the right sides also has to be the same. They are not so  there is no solutions.

{If they are the same then system has infinitely many solutions.}

Answer:

I believe it is 8.0 units.

Step-by-step explanation:

I may be wrong, but bare with me:

X and Y have negative and positive meaning depending on the quadrant, so if it is correctly put, the answer would be 7.6 units. Rounded to the nearest tenth would be 8.0

Hope this helps!

Answer:

XY ≈ 11.7 units

Step-by-step explanation:

Calculate the distance using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = X (- 4, 3) and (x₂, y₂ ) = Y (2, - 7)

XY = \(\sqrt{(2+4)^2+(-7-3)^2}\)

     = \(\sqrt{6^2+(-10)^2}\)

     = \(\sqrt{36+100}\)

     = \(\sqrt{136}\)

     ≈ 11.7 ( to the nearest tenth )

Answer:

So all you have to do is ... 15% of $26=3.9, in that case your answer would be 22.1. Hope that helped!

Answer:

157.741

Step-by-step explanation:

3000=800 ( 1 + 0.05)^t

-800

2200=1.05^t

log(1.05)2200=t

log2200/log1.05

t=157.7...

The expected winnings for the Ohio Pick 4 lottery are -$0.03, meaning that you are expected to lose money in the long run. This is because the probability of winning the jackpot is very small, while the cost of playing is relatively high.

The probability distribution for the Ohio Pick 4 lottery is as follows:

Winnings Probability

$0                0.999999

$2900         0.000001

The expected value of a lottery is the average of the possible winnings, weighted by their probabilities. In this case, the expected value is:

E = $0 * 0.999999 + $2900 * 0.000001 = $0.000029 = $0.03

This means that, on average, you can expect to lose $0.03 for every $1 you spend on the Ohio Pick 4 lottery.

The reason for this is that the probability of winning the jackpot is very small, while the cost of playing is relatively high. In order to break even, the probability of winning the jackpot would need to be much higher.

The expected value of a lottery is a theoretical concept. In reality, you may win or lose more or less than the expected value, depending on your luck. However, over the long run, you can expect to lose money if you play the lottery.

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Answer:

x = 6

Step-by-step explanation:

3 x 8 = 24

4 x 6 = 24

Answer: 7/8 I believe. Correct me if I’m wrong.

Step-by-step explanation:

Answer:

Since in option B, the bacteria are growing exponentially, B would be the correct answer to this question.

Step-by-step explanation:

The point on the line y = 5x + 2 that is closest to the origin is approximately (0.3448, 1.7931), which is (x, y) when x = 10/29 and y = 52/29.

The equation of the line is y = 5x + 2, and the point on the line closest to the origin is (x, y).

To find the distance from the origin to the point (x, y), use the distance formula:

d = √(x² + y²)

To minimize the distance, we can minimize the square of the distance:

d² = x² + y²

Now, we need to use calculus to find the minimum value of d² subject to the constraint that the point (x, y) lies on the line y = 5x + 2.

This is a constrained optimization problem. Using Lagrange multipliers, we can set up the following system of equations:

2x = λ

5x + 2 = λ5

Solving this system, we get:

x = 10/29, y = 52/29

So, the point on the line y = 5x + 2 that is closest to the origin is approximately (0.3448, 1.7931), which is (x, y) when x = 10/29 and y = 52/29.

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Statement I is correct, while statements II and III are false. The longer-term bond (Bond L) fluctuates more due to its higher interest rate risk compared to the shorter-term bond (Bond S).

To calculate the value of Bond L and Bond S, we need more information, specifically the interest rate or yield associated with these bonds.

a. Bond prices are influenced by various factors, including the bond's face value, coupon payments, time to maturity, and prevailing interest rates. Without the interest rate or yield, we cannot determine the exact values of Bond L and Bond S.

The bond price can be calculated using the present value formula, which discounts the future cash flows of the bond to their present value.

b. The longer-term bond (Bond L) tends to fluctuate more when interest rates change compared to the shorter-term bond (Bond S) due to interest rate risk. Interest rate risk refers to the impact of changes in interest rates on the value of a bond.

I. Longer-term bonds have more interest rate risk than shorter-term bonds. This statement is true. Longer-term bonds are exposed to changes in interest rates for a more extended period, which makes their prices more sensitive to interest rate movements. When interest rates rise, the value of longer-term bonds tends to decrease more than shorter-term bonds.

II. Longer-term bonds have less reinvestment rate risk than shorter-term bonds. This statement is false. Reinvestment rate risk refers to the risk of reinvesting coupon payments at lower interest rates when the bond matures. Longer-term bonds have a higher reinvestment rate risk because they have more coupon payments to reinvest over the bond's longer lifespan.

III. Longer-term bonds have less interest rate risk than shorter-term bonds. This statement is false. As mentioned earlier, longer-term bonds have more interest rate risk because their prices are more sensitive to changes in interest rates compared to shorter-term bonds.

In summary, statement I is correct, while statements II and III are false. The longer-term bond (Bond L) fluctuates more due to its higher interest rate risk compared to the shorter-term bond (Bond S).

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Marcos is 45 years old, Betiana is 9 years old, and Sabrina is 18 years old.

Let's start by defining the variables for each person's age

Marcos' age = M

Betiana's age = B

Sabrina's age = S

From the problem statement, we know

S = 1/3 (B + M)

B + S = M - 18

M + B + S = 72

We can use equation (1) to substitute S in equation (2)

B + (1/3)(B + M) = M - 18

Multiplying both sides by 3

3B + B + M = 3M - 54

Simplifying

4B = 2M - 54

We can also use equation (1) to substitute S in equation (3)

M + B + (1/3)(B + M) = 72

Multiplying both sides by 3:

3M + 3B + B + M = 216

Simplifying

4M + 4B = 216

Now we have two equations with two unknowns

4B = 2M - 54

4M + 4B = 216

Solving for B in the first equation

B = (2M - 54)/4

B = (M - 27)/2

Substituting in the second equation

4M + 4((M - 27)/2) = 216

Simplifying:

4M + 2M - 54 = 216

6M = 270

M = 45

Substituting M = 45 in the equation we found for B

B = (45 - 27)/2 = 9

Finally, using equation (1) to find S

S = 1/3 (B + M) = 1/3 (9 + 45) = 18

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Answer:

addition

division

Step-by-step explanation:

Answer:

Addition and Division

Step-by-step explanation:

The inverse operation of addition

is subtraction. The inverse operation of multiplication is division.

The correct answer is d. standard error.the standard deviation of a sampling distribution of sample means is referred to as the standard error.

The standard deviation of a sampling distribution of sample means is commonly referred to as the standard error. It represents the variability or dispersion of the sample means around the population mean. The standard error quantifies the precision of the sample mean as an estimate of the population mean.

The sampling distribution of sample means is a theoretical distribution that shows the distribution of sample means obtained from multiple random samples of the same size taken from a population. It is an essential concept in inferential statistics, particularly when estimating population parameters.

The standard error is calculated by dividing the standard deviation of the population by the square root of the sample size. Mathematically, it is represented as:

Standard Error = (Population Standard Deviation) / √(Sample Size)

The standard error measures the average amount of deviation or error between the sample means and the population mean. A smaller standard error indicates less variability and greater precision in estimating the population mean. On the other hand, a larger standard error implies more variability and less precision.

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The number of additional gigabytes would the two companies charge the same amount is 6

What represents the gigabytes beyond 3 gigabytes?

The number of gigabytes beyond  3 can be represented as X-3,in other words, X is the total gigabytes

Company A:

TC=20.40+(X-3)*9.80

TC=20.40+9.80X-29.40

Company B:

TC=18.60+(X-3)*10.10

TC=18.60+10.10X-30.30

At the point where additional gigabytes are the same, the companies charge the same amount

20.40+9.80X-29.40=18.60+10.10X-30.30

20.40-29.40-18.60+30.30=10.10x-9.80x

2.70=0.30X

X=2.70/0.30

X=9(total gigabytes)

additional gigabytes=X-3

additional gigabytes=9-3

additional gigabytes=6

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Answer:

x = -2

Step-by-step explanation:

Solve for x:

4 x + 8 = 0

Subtract 8 from both sides:

4 x + (8 - 8) = -8

8 - 8 = 0:

4 x = -8

Divide both sides of 4 x = -8 by 4:

(4 x)/4 = (-8)/4

4/4 = 1:

x = (-8)/4

8/4 = (4×2)/4 = 2:

Answer: x = -2

Answer:

The zero of the function is at x = -2

Step-by-step explanation:

Answer:

i dont have one,

jus wanted to remind u that the beutiful

person above deserved brainiest

:)

also u need 2 answers minimum to give brainliest

The equation of the line that passes through the point (14,3) and is perpendicular to the given equation is y = x - 11.

To solve the equation 5(y+x)-6(x-y)=-8, we need to use the distributive property and combine like terms.

5(y+x)-6(x-y)=-8

Distribute the 5 and -6:

5y + 5x - 6x + 6y = -8

Combine like terms:

11y - x = -8

Now, we need to find the slope of the line that passes through the point (14,3) and is perpendicular to the given equation.

The slope of the given equation is -1, so the slope of the perpendicular line is the negative reciprocal, which is 1.

Using the point-slope form, we can write the equation of the perpendicular line:

y - 3 = 1(x - 14)

Distribute the 1:

y - 3 = x - 14

Add 3 to both sides:

y = x - 11

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\(4x - 8 < 12 \\ 4x < 12 + 8 \\ 4x < 20 \\ \frac{4x}{4} < \frac{20}{4} \\ x < 5 \\ \\ or \\ \\ 4x - 8 > - 12 \\ 4x > - 12 + 8 \\ 4x > - 4 \\ \frac{4x}{4} > \frac{ - 4}{4} \\ x > - 1 \\ \\ = - 1 < x < 5\)

I hope this helps!!!!

AS PER THE LAST STATEMENT YOU GAVE I CANNOT SEE THROUGH IF THE DETAILS ARE COMPLETE OR WRITTEN IN THE CORRECT FORM..THIS WILL GIVE YOU A DETAILED HINT TO CHOOSE THE CORRECT ONE!!!!!!!

When the parallel lines are cut by a transversal, the values for the measurement of ∠5 and ∠7 is 99° each.

What are parallel lines?

Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines in geometry. Both horizontal and vertical shapes are possible.

Examples of parallel lines can be found everywhere, including zebra crossings, rows of notebooks, and the nearby railroad tracks.

In the given diagram the parallel lines are cut by a transversal.

The measure of angle 4 is, m∠4 = 81°.

It is known that each pair of interior angles on the same side of a transversal that cuts two parallel lines are supplementary, or they add up to 180 degrees.

So, m∠4 + m∠5 = 180°

81° + m∠5 = 180°

m∠5 = 180° - 81°

m∠5 = 99°

Now, as it can be seen in the image ∠5 and ∠7 are vertically opposite angles.

So, they will be congruent or equal to each other.

So, it is obtained that -

m∠5 = m∠7

m∠7 = 99°

Therefore, the measures of angles are m∠5 = 99° and m∠7 = 99°.

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